What is x^2-y^2+2x-y=0 ?

The solution to x^2-y^2+2x-y=0 is Hyperbola with (h,k)=(-1,-1/2),a=(sqrt(3))/2 ,b=(sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2-y^2+2x-y=0

x^{2} - y^{2} + 2 x - y = 0

(h, k) = (- 1, - \frac{1}{2}), a = \frac{3}{2}, b = \frac{3}{2}

Solution steps

x^{2} - y^{2} + 2 x - y = 0

Rewrite

x^{2} - y^{2} + 2 x - y = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 1 ) ) ^{2}}{( \frac{3}{2} ) ^{2}} - \frac{( y - ( - \frac{1}{2} ) ) ^{2}}{( \frac{3}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, - \frac{1}{2}), a = \frac{3}{2}, b = \frac{3}{2}

y^{2} - 4 y - 4 x^{2} + 8 x - 4 = 0

- 9 x^{2} - 32 y = - 16 y^{2} + 128

x^{2} - 2 x - 4 y^{2} + 24 y = 31

(74 x 3 + 53 y 8) (74 x 3 - 53 y 8) = 4916 x 6 - 259 y 16

- 12 x^{2} + 2 y^{2} + 12 x - 4 y + 4 = 0

What is x^2-y^2+2x-y=0 ?
The solution to x^2-y^2+2x-y=0 is Hyperbola with (h,k)=(-1,-1/2),a=(sqrt(3))/2 ,b=(sqrt(3))/2